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# Appendix 2 Statistics PowerPoint

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### Appendix 2 Statistics PowerPoint

1. 1. Statistics<br />Practice Problems<br />
2. 2. Five-Number Summary<br />Find the five-number summary for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />
3. 3. Five-Number Summary (Cont.)<br />Find the five-number summary for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />To solve, first put in order by value:<br />12, 21, 43, 47, 56, 74, 89, 90, 109, 130, 756, 947, 1066<br />Minimum: 12<br />First Quartile: 45<br />Median: 89<br />Third Quartile: 443<br />Maximum: 1066<br />
4. 4. Histogram<br />Create a histogram for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />
5. 5. Histogram (Cont.)<br />Create a histogram for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />To solve, first create a frequency table:<br />For this problem, let’s use 8 bars in the histogram<br />First, find the range of the data<br />Maximum: 1066 – Minimum: 12 = Range: 1054<br />Then, divide by the desired number of bars<br />Range: 1054 ÷ 8 = 131.75 (about 135)<br />Finally, create the frequency table (see next slide)<br />
6. 6. Histogram (Cont. II)<br />Create a histogram for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />Completed Frequency Table:<br />
7. 7. Histogram (Cont. III)<br />Create a histogram for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />Next, create the histogram<br />10<br />9<br />8<br />7<br />6<br />5<br />4<br />3<br />2<br />1<br />1<br />0-135<br />136-271<br />272-407<br />680-815<br />544-679<br />816-951<br />952-1087<br />408-543<br />
8. 8. Box and Whisker Plot<br />Create a box and whisker plot for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />
9. 9. Box and Whisker Plot (Cont.)<br />Create a box and whisker plot for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />To solve, first find any outliers:<br />First, find the inter-quartile range of the data<br />Third Quartile: 443 – First Quartile: 45 = Inter-quartile Range: 398<br />Then, multiply by 1.5<br />Inter-quartile Range: 398 × 1.5 = 597<br />Next, add this number to the third quartile and subtract it from the first quartile<br />Third Quartile: 443 + 597 = 1040<br />First Quartile: 45 – 597 = -552<br />Finally, find any outliers<br />-552 ≤ (accepted numbers in set of data) ≤ 1040 < 1066<br />
10. 10. Box and Whisker Plot (Cont. II)<br />Create a box and whisker plot for this set of data<br />47, 56, 89, 43, 21, 90, 74, 1066, 109, 756, 947, 12, 130<br />Create the plot<br />Draw a number line<br />Mark the median and quartiles<br />Draw lines out to the minimum and maximum (excluding any outliers)<br />45<br />443<br />89<br />12<br />947<br />100<br />0<br />200<br />300<br />400<br />500<br />600<br />700<br />800<br />900<br />1000<br />1100<br />